A particle of mass 10 kg is acted upon by a force F along the line of motion which varies as shown in the figure. The initial velocity of the particle is 10 ms − 1 . Find the maximum velocity attained

Question

A particle of mass 10 kg is acted upon by a force F along the line of motion which varies as shown in the figure. The initial velocity of the particle is 10 ms − 1 . Find the maximum velocity attained by the particle before it comes to instantaneous rest (in m/s).

TestHub · Accepted Answer

From the graph, F = 2 t , so a = m F ​ = 10 2 t ​ = 5 t ​ Velocity is maximum at t = 10 s (after that the force reverses direction) v ma x ​ = 10 + ∫ 0 10 ​ 5 t ​ d t = 10 + [ 10 t 2 ​ ] 0 10 ​ v ma x ​ = 10 + 10 = 20 m/s

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